Size-dependent rigidities of nanosized torsional elements
By V. Shenoy. 2001
172 citations recorded by the source corpus.
A theory for the prediction of the size dependence of torsional rigidities of nanosized structural elements is developed. It is shown that, to a very good approximation, the torsional rigidity (D) of a nanosized bar differs from the prediction of standard continuum mechanics (D-c) as (D-D-c)/D-c = Ah(0)/a where A is a non-dimensional constant, a is the size scale of the cross-section of the bar and h(0) is a material length equal to the ratio of the surface elastic constant to the bulk elastic constant. The theory developed is compared with direct atomistic calculations ("numerical experiment") of the torsional rigidity bars made of several FCC metals modeled using the embedded atom method. Very good agreement is obtained between theory and simulation. The framework presented here can aid the development of design methodologies for nanoscale structural elements without the need for full scale atomistic simulations.
Subfields: Materials Chemistry
View Paper: https://www.semanticscholar.org/paper/97391427810c1ea062369ff6aee2f832897ade52
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In Materials Chemistry
- Jianxiang Wang
- Huiling Duan
- Zhuping Huang
- B. Karihaloo
- Victor A. Eremeyev
- Tungyang Chen
- C. C. Yu
- G. Dvorak
Citations in the corpus
- A scaling law for properties of nano-structured materials (2006, background): “3) almost exactly in and above the range 1–100 nm (Miller & Shenoy 2000; Shenoy 2002; Cuenot et al. 2004; Villain et al. 2004; Zhou & Huang 2004).”